Well, there are very few lakes in Algonquin that have both pike and bass, because there are very few lakes in Algonquin that have pike at all, though most of those that do also have bass. Basically there's the Booth-Shall corridor (around access point 17), there's Basin and Upper Pine lakes, and there's Sec and Wet in the far east of the park. That's about it for pike in Algonquin.
Curemd, as you probably saw in the regs, lake and brook trout are closed in October. And these are the main game fish in many of the lakes through the core of the park. Splake are open but basically only exist in a few select lakes where they're stocked. Bass are open and more widespread in the park than splake or pike, but still only exist in certain areas... along the Highway 60 corridor, along the North Tea-Kioshkokwi corridor in the northwest corner, a few lakes north of Canoe and west to Rain, the Petawawa River corridor downstream from Cedar Lake, and a few lakes and rivers in the east and south ends of the park. Jeffsmap shows most trout, bass and pike occurrances in most lakes.
If you've already planned your trip and it's through trout lakes, you may be limited to perch and sunfish if they're even there... unless someone knows how to target whitefish in the fall (no netting in Algonquin btw).